5632133364 has 192 divisors, whose sum is σ = 17413831680. Its totient is φ = 1551623040.

The previous prime is 5632133363. The next prime is 5632133393. The reversal of 5632133364 is 4633312365.

5632133364 is a `hidden beast` number, since 5 + 632 + 13 + 3 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632133363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1032027 + ... + 1037469.

It is an arithmetic number, because the mean of its divisors is an integer number (90697040).

Almost surely, 2^5632133364 is an apocalyptic number.

5632133364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5632133364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706915840).

5632133364 is an abundant number, since it is smaller than the sum of its proper divisors (11781698316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5632133364 is a wasteful number, since it uses less digits than its factorization.

5632133364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5539 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 5632133364 is about 75047.5406925503. The cubic root of 5632133364 is about 1779.1981158522.

The spelling of 5632133364 in words is "five billion, six hundred thirty-two million, one hundred thirty-three thousand, three hundred sixty-four".